A mass $M$, attached to a horizontal spring, executes S.H.M. with amplitude $A_1$. When the mass $M$ passes through its mean position then a smaller mass $m$ is placed over it and both of them move together with amplitude $A_2$. The ratio of $\frac{{{A_1}}}{{{A_2}}}$ is
$\frac{M}{{M + m}}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;$
$\;\frac{{M + m}}{M}$
${\left( {\;\frac{M}{{M + m}}} \right)^{\frac{1}{2}}}$
${\left( {\;\frac{{M + m}}{M}} \right)^{\frac{1}{2}}}$
The mass $M$ shown in the figure oscillates in simple harmonic motion with amplitude $A$. The amplitude of the point $P$ is
In the figure, ${S_1}$ and ${S_2}$ are identical springs. The oscillation frequency of the mass $m$ is $f$. If one spring is removed, the frequency will become
A force of $20\,dyne$ applied to the end of spring increase its length of $1\, mm$, then force constant will be what ?
If a spring has time period $T$, and is cut into $n$ equal parts, then the time period of each part will be
In arrangement given in figure, if the block of mass m is displaced, the frequency is given by